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Finding the Fourth Proportional to 380.30, 570.52 and 136.81

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Solution

The fourth proportional to 380.30, 570.52 and 136.81 is: 205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.30 : 570.52 = 136.81 : x
  2. Step 2: Convert to fraction form
    380.30/570.52 = 136.81/x
  3. Step 3: Cross multiply
    380.30x = 570.52 × 136.81
  4. Step 4: Simplify right side
    380.30x = 78,052.16
  5. Step 5: Solve for x
    x = 78,052.16/380.30
  6. Step 6: Final answer
    x = 205.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.